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Finding the Fourth Proportional to 8,428.05, 12,638.16 and 4,919.07

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Solution

The fourth proportional to 8,428.05, 12,638.16 and 4,919.07 is: 7,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.05 : 12,638.16 = 4,919.07 : x
  2. Step 2: Convert to fraction form
    8,428.05/12,638.16 = 4,919.07/x
  3. Step 3: Cross multiply
    8,428.05x = 12,638.16 × 4,919.07
  4. Step 4: Simplify right side
    8,428.05x = 62,167,905.93
  5. Step 5: Solve for x
    x = 62,167,905.93/8,428.05
  6. Step 6: Final answer
    x = 7,376.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.